Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C5 and Q=Q8.D4

Direct product G=NxQ with N=C5 and Q=Q8.D4
dρLabelID
C5xQ8.D4160C5xQ8.D4320,965

Semidirect products G=N:Q with N=C5 and Q=Q8.D4
extensionφ:Q→Aut NdρLabelID
C5:1(Q8.D4) = Dic10.D4φ: Q8.D4/D4:C4 → C2 ⊆ Aut C5160C5:1(Q8.D4)320,394
C5:2(Q8.D4) = Dic10.11D4φ: Q8.D4/Q8:C4 → C2 ⊆ Aut C5160C5:2(Q8.D4)320,425
C5:3(Q8.D4) = C42.36D10φ: Q8.D4/C4:C8 → C2 ⊆ Aut C5160C5:3(Q8.D4)320,472
C5:4(Q8.D4) = Q8.1D20φ: Q8.D4/C4xQ8 → C2 ⊆ Aut C5160C5:4(Q8.D4)320,655
C5:5(Q8.D4) = C42.61D10φ: Q8.D4/C4.4D4 → C2 ⊆ Aut C5160C5:5(Q8.D4)320,681
C5:6(Q8.D4) = (C5xQ8).D4φ: Q8.D4/C2xSD16 → C2 ⊆ Aut C5160C5:6(Q8.D4)320,793
C5:7(Q8.D4) = (C2xQ16):D5φ: Q8.D4/C2xQ16 → C2 ⊆ Aut C5160C5:7(Q8.D4)320,812


׿
x
:
Z
F
o
wr
Q
<